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Finding the Fourth Proportional to 144,146.83, 198,934.92 and 80,496.92

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Solution

The fourth proportional to 144,146.83, 198,934.92 and 80,496.92 is: 111,092.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,146.83 : 198,934.92 = 80,496.92 : x
  2. Step 2: Convert to fraction form
    144,146.83/198,934.92 = 80,496.92/x
  3. Step 3: Cross multiply
    144,146.83x = 198,934.92 × 80,496.92
  4. Step 4: Simplify right side
    144,146.83x = 16,013,647,937.96
  5. Step 5: Solve for x
    x = 16,013,647,937.96/144,146.83
  6. Step 6: Final answer
    x = 111,092.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.